GCD of 504, 195, 86, 398 Calculator

Given Input numbers are 504, 195, 86, 398

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 504, 195, 86, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 195, 86, 398 is 1.

Therefore, GCD of numbers 504, 195, 86, 398 is 1

Given Input Data is 504, 195, 86, 398

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 86 is 2 x 43

Prime Factorization of 398 is 2 x 199

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(504, 195) = 32760

GCD(504, 195) = ( 504 x 195 ) / 32760

GCD(504, 195) = 98280 / 32760

GCD(504, 195) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 86

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 86) = 258

GCD(3, 86) = ( 3 x 86 ) / 258

GCD(3, 86) = 258 / 258

GCD(3, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 504, 195, 86, 398 is 1

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1. What is the GCD of 504, 195, 86, 398?

GCD of 504, 195, 86, 398 is 1

2. Where do I get the detailed procedure to find GCD of 504, 195, 86, 398?

You can find a detailed procedure to find GCD of 504, 195, 86, 398 on our page.

3. How to find GCD of 504, 195, 86, 398 on a calculator?

You can find the GCD of 504, 195, 86, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.